Question

Divide x²+ 2x+1/x-2/x²-1/x²-4

Answer 1

We can rewrite it as :

\begin{gathered}\dfrac{x^2+2x+1}{x+1}\\\\=\dfrac{x^2+x+x+1}{x+1}\\\\=\dfrac{x(x+1)+1(x+1)}{x+1}\\\\=\dfrac{(x+1)(x+1)}{x+1}\\\\=(x+1)\end{gathered}

x+1

x

2

+2x+1

=

x+1

x

2

+x+x+1

=

x+1

x(x+1)+1(x+1)

=

x+1

(x+1)(x+1)

=(x+1)

Hence, (x+1) is the required answer.

# learn more:

Divide the polynomial f(x) by the polynomial g(x) and find the quotient and remainder f(x)=4x3-3x2+2x+1,g(x)=x2-3x+6